%% dx = (0.03125,0.03125)
solution = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28401 1.32477 1.36682 1.41021 1.45497 1.50116 1.54881 1.59797 1.6487 1.70103 1.75503 1.81074 1.86822 1.92752 1.98871 2.05184 2.11698 2.18418 2.25351 2.32505 2.39885 2.475 2.55357 2.63463 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16906 1.20617 1.24446 1.28396 1.32471 1.36676 1.41014 1.45491 1.50109 1.54874 1.5979 1.64862 1.70095 1.75495 1.81066 1.86814 1.92744 1.98862 2.05175 2.11689 2.18409 2.25342 2.32495 2.39876 2.47491 2.55347 2.63453 2.71816 2.80445 2.89348 
1.09813 1.13299 1.16895 1.20605 1.24433 1.28383 1.32458 1.36662 1.41 1.45476 1.50093 1.54858 1.59773 1.64845 1.70077 1.75476 1.81047 1.86794 1.92724 1.98842 2.05154 2.11666 2.18386 2.25319 2.32471 2.39851 2.47466 2.55321 2.63427 2.71789 2.80417 2.89319 2.98504 
1.13278 1.16873 1.20583 1.2441 1.28358 1.32433 1.36636 1.40973 1.45448 1.50064 1.54828 1.59742 1.64813 1.70044 1.75442 1.81011 1.86757 1.92685 1.98802 2.05113 2.11625 2.18343 2.25275 2.32426 2.39805 2.47418 2.55272 2.63376 2.71737 2.80364 2.89264 2.98447 3.07922 
1.16838 1.20546 1.24372 1.28319 1.32392 1.36594 1.40929 1.45402 1.50017 1.54779 1.59692 1.64761 1.6999 1.75386 1.80953 1.86697 1.92624 1.98739 2.05048 2.11557 2.18274 2.25203 2.32352 2.39729 2.47339 2.55191 2.63293 2.71652 2.80276 2.89173 2.98354 3.07825 3.17598 
1.20491 1.24315 1.2826 1.32331 1.36531 1.40864 1.45335 1.49948 1.54707 1.59617 1.64684 1.69911 1.75305 1.80869 1.86609 1.92532 1.98644 2.04951 2.11458 2.18171 2.25097 2.32243 2.39616 2.47223 2.55072 2.6317 2.71525 2.80145 2.89038 2.98215 3.07682 3.1745 3.27528 
1.24236 1.28178 1.32246 1.36443 1.40773 1.45241 1.49851 1.54607 1.59514 1.64577 1.69801 1.75191 1.80752 1.8649 1.92407 1.98513 2.04815 2.1132 2.1803 2.2495 2.32091 2.3946 2.47062 2.54906 2.62999 2.71348 2.79963 2.88851 2.98021 3.07483 3.17244 3.27316 3.37707 
1.2807 1.32134 1.36327 1.40654 1.45117 1.49723 1.54475 1.59378 1.64436 1.69655 1.7504 1.80597 1.8633 0 0 0 0 0 2.2476 2.31891 2.39252 2.46848 2.54685 2.62772 2.71114 2.79722 2.88602 2.97765 3.07218 3.16971 3.27035 3.37417 3.48129 
1.3199 1.36179 1.405 1.44959 1.49559 1.54306 1.59203 1.64256 1.69469 1.74848 1.80397 0 0 0 0 0 0 0 0 0 2.46573 2.54403 2.62481 2.70815 2.79413 2.88284 2.97436 3.06879 3.16622 3.26674 3.37046 3.47746 3.58786 
1.35994 1.40309 1.44762 1.49356 1.54095 1.58986 1.64032 1.69237 1.74609 1.8015 0 0 0 0 0 0 0 0 0 0 0 2.62118 2.70442 2.79029 2.87888 2.97028 3.06458 3.16187 3.26226 3.36583 3.47269 3.58294 3.69669 
1.40077 1.44522 1.49108 1.5384 1.58722 1.63759 1.68956 1.74318 1.79851 0 0 0 0 0 0 0 0 0 0 0 0 0 2.78563 2.87407 2.96531 3.05945 3.15658 3.2568 3.3602 3.46688 3.57695 3.69051 3.80768 
1.44235 1.48812 1.53534 1.58406 1.63433 1.68619 1.7397 1.79492 1.85188 0 0 0 0 0 0 0 0 0 0 0 0 0 2.8684 2.9594 3.05332 3.15026 3.25027 3.35347 3.45994 3.56979 3.68313 3.80006 3.92071 
1.48463 1.53174 1.58035 1.6305 1.68224 1.73562 1.7907 1.84753 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.04612 3.14281 3.24259 3.34555 3.45177 3.56137 3.67444 3.7911 3.91147 4.03565 
1.52757 1.57604 1.62605 1.67765 1.73089 1.78581 1.84247 1.90092 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.13407 3.23364 3.33634 3.44229 3.55159 3.66436 3.7807 3.90074 4.02458 4.15236 
1.57109 1.62095 1.67239 1.72546 1.78021 1.8367 1.89497 1.95507 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.22335 3.32576 3.4314 3.54037 3.65279 3.76877 3.88843 4.01188 4.13926 4.27067 
1.61515 1.6664 1.71928 1.77384 1.83013 1.88821 1.94812 2.00992 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.31374 3.41903 3.52762 3.63965 3.75522 3.87445 3.99746 4.12438 4.25532 4.39042 
1.65966 1.71233 1.76667 1.82273 1.88058 1.94027 2.00185 2.06541 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.40512 3.51329 3.62487 3.73997 3.85872 3.98123 4.10763 4.23805 4.3726 4.51142 
1.70455 1.75865 1.81446 1.87205 1.93146 1.99277 2.05602 2.12128 2.18859 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.49738 3.6084 3.72296 3.84116 3.96311 4.08894 4.21875 4.35269 4.49088 4.63345 
1.74975 1.80528 1.86258 1.92169 1.98269 2.04562 2.11055 2.17755 2.24667 0 0 0 0 0 0 0 0 0 0 0 0 0 3.47975 3.59017 3.70412 3.82171 3.94303 4.06822 4.19737 4.33063 4.46811 4.60996 4.75631 
1.79517 1.85214 1.91093 1.97158 2.03416 2.09872 2.16534 2.23408 2.305 2.37818 0 0 0 0 0 0 0 0 0 0 0 3.46024 3.57007 3.68338 3.80029 3.92093 4.0454 4.17382 4.30633 4.44304 4.58409 4.72962 4.87977 
1.84071 1.89913 1.95941 2.0216 2.08577 2.15198 2.22029 2.29077 2.36349 2.43852 2.51594 0 0 0 0 0 0 0 0 0 3.43889 3.54803 3.66065 3.77684 3.89672 4.02042 4.14804 4.27972 4.41558 4.55576 4.70039 4.84961 5.00356 
1.88628 1.94615 2.00792 2.07166 2.13742 2.20526 2.27527 2.34749 2.42201 2.4989 2.57823 2.66008 2.74452 0 0 0 0 0 0 3.41561 3.52403 3.63588 3.75129 3.87036 3.99321 4.11997 4.25075 4.38569 4.52492 4.66856 4.81677 4.96968 5.12744 
1.93178 1.9931 2.05637 2.12164 2.18898 2.25847 2.33016 2.40413 2.48045 2.55919 2.64043 2.72425 2.81073 2.89997 2.99203 3.087 3.18499 3.28609 3.39039 3.49801 3.60904 3.7236 3.84179 3.96373 4.08955 4.21937 4.35331 4.4915 4.63408 4.78119 4.93297 5.08957 5.25114 
1.97712 2.03987 2.10462 2.17143 2.24035 2.31147 2.38484 2.46055 2.53865 2.61924 2.70239 2.78818 2.87669 2.96801 3.06223 3.15943 3.25972 3.36319 3.46995 3.58009 3.69373 3.81097 3.93194 4.05675 4.18552 4.31839 4.45547 4.5969 4.74283 4.89339 5.04873 5.209 5.37436 
2.02216 2.08635 2.15258 2.2209 2.2914 2.36414 2.43918 2.51661 2.5965 2.67892 2.76396 2.85171 2.94223 3.03563 3.13199 3.23141 3.33399 3.43982 3.54901 3.66166 3.77789 3.89781 4.02153 4.14919 4.2809 4.41679 4.55699 4.70165 4.8509 5.00489 5.16376 5.32768 5.49681 
2.06681 2.13242 2.20011 2.26995 2.342 2.41634 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30277 3.40761 3.51577 3.62737 3.74251 3.86131 3.98388 4.11034 4.24081 4.37543 4.51432 4.65762 4.80547 4.95802 5.1154 5.27779 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39202 2.46795 2.54629 2.62712 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26952 3.3733 3.48038 3.59086 3.70484 3.82244 3.94378 4.06897 4.19813 4.33139 4.46888 4.61074 4.7571 4.90811 5.06391 5.22466 5.39051 5.56162 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51882 2.59878 2.68127 2.76639 2.8542 2.94481 3.03829 3.13473 3.23424 3.33691 3.44283 3.55212 3.66487 3.78121 3.90123 4.02507 4.15284 4.28466 4.42067 4.561 4.70578 4.85516 5.00928 5.16829 5.33235 5.50162 5.67626 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48978 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40314 3.51116 3.62262 3.73761 3.85626 3.97866 4.10496 4.23526 4.36971 4.50841 4.65153 4.79918 4.95152 5.1087 5.27087 5.43819 5.61082 5.78892 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.2579 3.36131 3.46801 3.5781 3.69168 3.80887 3.92977 4.05451 4.18322 4.31601 4.45301 4.59436 4.7402 4.89068 5.04592 5.2061 5.37136 5.54186 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53433 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
exact = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32478 1.36683 1.41022 1.45498 1.50117 1.54882 1.59799 1.64871 1.70105 1.75505 1.81076 1.86824 1.92754 1.98873 2.05186 2.11699 2.18419 2.25352 2.32506 2.39886 2.47501 2.55358 2.63464 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41017 1.45493 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86817 1.92747 1.98866 2.05178 2.11691 2.18411 2.25344 2.32498 2.39878 2.47492 2.55349 2.63454 2.71817 2.80446 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24435 1.28385 1.3246 1.36665 1.41003 1.45479 1.50097 1.54862 1.59778 1.64849 1.70082 1.75481 1.81052 1.86799 1.92729 1.98846 2.05159 2.11671 2.1839 2.25323 2.32475 2.39855 2.47468 2.55324 2.63429 2.71791 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32435 1.36639 1.40977 1.45452 1.50069 1.54833 1.59748 1.64819 1.7005 1.75448 1.81018 1.86764 1.92692 1.98809 2.0512 2.11631 2.18349 2.2528 2.32431 2.3981 2.47422 2.55276 2.63379 2.7174 2.80366 2.89265 2.98448 3.07922 
1.16838 1.20546 1.24373 1.28321 1.32394 1.36597 1.40933 1.45407 1.50022 1.54785 1.59698 1.64767 1.69998 1.75394 1.80962 1.86706 1.92633 1.98748 2.05056 2.11566 2.18281 2.2521 2.32359 2.39735 2.47345 2.55197 2.63298 2.71656 2.80279 2.89176 2.98355 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32333 1.36534 1.40868 1.4534 1.49953 1.54713 1.59624 1.64691 1.69919 1.75313 1.80878 1.8662 1.92544 1.98656 2.04962 2.11468 2.18181 2.25106 2.32252 2.39625 2.47231 2.55079 2.63176 2.7153 2.8015 2.89042 2.98218 3.07684 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36446 1.40777 1.45246 1.49857 1.54614 1.59522 1.64585 1.6981 1.752 1.80762 1.865 1.9242 1.98528 2.0483 2.11332 2.1804 2.24962 2.32103 2.3947 2.47072 2.54915 2.63007 2.71355 2.79969 2.88856 2.98026 3.07486 3.17247 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40657 1.45122 1.49729 1.54481 1.59385 1.64445 1.69665 1.7505 1.80607 1.8634 0 0 0 0 0 2.24769 2.31904 2.39266 2.46861 2.54697 2.62782 2.71123 2.7973 2.88609 2.97771 3.07223 3.16975 3.27037 3.37419 3.48129 
1.3199 1.3618 1.40503 1.44963 1.49564 1.54312 1.5921 1.64264 1.69479 1.74858 1.80409 0 0 0 0 0 0 0 0 0 2.4659 2.54418 2.62494 2.70826 2.79423 2.88293 2.97444 3.06886 3.16628 3.26679 3.37049 3.47748 3.58786 
1.35994 1.40311 1.44765 1.4936 1.54101 1.58993 1.6404 1.69247 1.74619 1.80162 0 0 0 0 0 0 0 0 0 0 0 2.62135 2.70456 2.79041 2.87899 2.97038 3.06467 3.16195 3.26232 3.36588 3.47272 3.58296 3.69669 
1.40077 1.44523 1.49111 1.53844 1.58728 1.63766 1.68965 1.74328 1.79862 0 0 0 0 0 0 0 0 0 0 0 0 0 2.78576 2.87419 2.96542 3.05956 3.15668 3.25688 3.36027 3.46693 3.57698 3.69053 3.80768 
1.44235 1.48813 1.53537 1.58411 1.63439 1.68628 1.7398 1.79503 1.85201 0 0 0 0 0 0 0 0 0 0 0 0 0 2.86845 2.95951 3.05345 3.15038 3.25038 3.35356 3.46001 3.56985 3.68317 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63055 1.68231 1.73571 1.79081 1.84766 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.04627 3.14297 3.24274 3.34567 3.45187 3.56145 3.6745 3.79114 3.91149 4.03565 
1.52757 1.57606 1.62609 1.6777 1.73096 1.78591 1.8426 1.90109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.13436 3.23386 3.33651 3.44243 3.5517 3.66444 3.78076 3.90078 4.0246 4.15236 
1.57109 1.62096 1.67242 1.72551 1.78028 1.83679 1.8951 1.95526 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.22367 3.326 3.43158 3.54051 3.6529 3.76886 3.88849 4.01193 4.13928 4.27067 
1.61515 1.66642 1.71931 1.77389 1.8302 1.8883 1.94824 2.01008 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.31407 3.41926 3.5278 3.63979 3.75533 3.87453 3.99753 4.12442 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82278 1.88064 1.94034 2.00193 2.06548 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.4054 3.5135 3.62503 3.7401 3.85882 3.98131 4.10769 4.23808 4.37262 4.51142 
1.70455 1.75866 1.81449 1.87208 1.93151 1.99282 2.05608 2.12135 2.18869 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.49751 3.60854 3.72309 3.84127 3.9632 4.08901 4.21881 4.35273 4.4909 4.63345 
1.74975 1.80529 1.8626 1.92172 1.98273 2.04567 2.1106 2.1776 2.24672 0 0 0 0 0 0 0 0 0 0 0 0 0 3.47979 3.59025 3.70422 3.82181 3.94312 4.06829 4.19743 4.33067 4.46814 4.60998 4.75631 
1.79517 1.85215 1.91094 1.9716 2.03419 2.09876 2.16538 2.23412 2.30504 2.37821 0 0 0 0 0 0 0 0 0 0 0 3.46027 3.57011 3.68344 3.80037 3.921 4.04547 4.17389 4.30638 4.44308 4.58412 4.72963 4.87977 
1.84071 1.89914 1.95942 2.02162 2.08579 2.15201 2.22032 2.2908 2.36352 2.43854 2.51595 0 0 0 0 0 0 0 0 0 3.43889 3.54806 3.66068 3.77689 3.89678 4.02048 4.1481 4.27977 4.41563 4.5558 4.70041 4.84962 5.00356 
1.88628 1.94616 2.00794 2.07167 2.13744 2.20529 2.27529 2.34751 2.42203 2.49892 2.57824 2.66008 2.74452 0 0 0 0 0 0 3.41561 3.52404 3.6359 3.75132 3.8704 3.99326 4.12002 4.2508 4.38573 4.52495 4.66859 4.81679 4.96969 5.12744 
1.93178 1.99311 2.05637 2.12165 2.189 2.25849 2.33018 2.40415 2.48046 2.5592 2.64044 2.72425 2.81073 2.89995 2.99201 3.08698 3.18497 3.28608 3.39039 3.49801 3.60905 3.72361 3.84181 3.96377 4.08959 4.21941 4.35334 4.49153 4.63411 4.78121 4.93299 5.08958 5.25114 
1.97712 2.03988 2.10463 2.17144 2.24036 2.31148 2.38486 2.46056 2.53867 2.61925 2.7024 2.78818 2.87669 2.968 3.06222 3.15942 3.25971 3.36319 3.46995 3.58009 3.69374 3.81099 3.93196 4.05678 4.18555 4.31842 4.4555 4.59693 4.74285 4.89341 5.04874 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.29141 2.36415 2.43919 2.51662 2.59651 2.67893 2.76397 2.85171 2.94223 3.03563 3.13199 3.23141 3.33398 3.43981 3.54901 3.66166 3.7779 3.89782 4.02155 4.14921 4.28092 4.41681 4.55701 4.70167 4.85092 5.0049 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.34201 2.41635 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30276 3.4076 3.51577 3.62737 3.74252 3.86132 3.98389 4.11035 4.24083 4.37545 4.51434 4.65764 4.80549 4.95803 5.11542 5.2778 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39203 2.46796 2.5463 2.62713 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26951 3.3733 3.48038 3.59086 3.70484 3.82245 3.94378 4.06897 4.19814 4.3314 4.46889 4.61075 4.75711 4.90812 5.06392 5.22467 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51883 2.59878 2.68128 2.76639 2.85421 2.94481 3.03829 3.13473 3.23424 3.3369 3.44283 3.55212 3.66487 3.78121 3.90124 4.02507 4.15284 4.28467 4.42068 4.56101 4.70579 4.85517 5.00929 5.1683 5.33236 5.50162 5.67627 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48979 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40313 3.51116 3.62262 3.73761 3.85626 3.97867 4.10496 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27088 5.43819 5.61082 5.78893 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.25789 3.36131 3.46801 3.5781 3.69168 3.80886 3.92977 4.05452 4.18322 4.31601 4.45301 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54187 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53434 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
err = [
0 0 2.44249e-15 3.95906e-13 1.17262e-12 -1.50524e-12 -3.84137e-13 -1.76614e-12 -1.07137e-12 5.36238e-13 -1.1362e-12 5.90639e-13 1.91624e-13 4.77618e-13 1.82854e-12 7.67608e-13 -1.21902e-13 -1.77325e-12 -2.27907e-12 2.36211e-12 6.45706e-13 7.38565e-12 1.24545e-12 1.10489e-12 -8.39329e-14 7.43405e-13 6.70575e-14 -2.65699e-12 2.89546e-13 -2.74358e-12 -4.37872e-13 -1.81233e-12 0 
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];
